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• W4281606543 abstract "This paper investigates the global stabilizing effects of the geometry of the domain at which the flow locates and of the geometric structure of the solution to the incompressible flows by studying the three-dimensional (3D) incompressible, viscosity, and diffusivity Boussinesq system in spherical coordinates. We establish the global existence and uniqueness of the smooth solution to the Cauchy problem for a full 3D incompressible Boussinesq system in a class of variant spherical coordinates for a class of smooth large initial data. We also construct one class of nonempty bounded domains in the three-dimensional space <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <msup> <mrow> <mi>ℝ</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </math> , in which the initial boundary value problem for the full 3D Boussinesq system in a class of variant spherical coordinates with a class of large smooth initial data with swirl has a unique global strong or smooth solution with exponential decay rate in time." @default.
• W4281606543 created "2022-06-12" @default.
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• W4281606543 date "2022-05-28" @default.
• W4281606543 modified "2023-10-16" @default.
• W4281606543 title "On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates" @default.
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• W4281606543 doi "https://doi.org/10.1155/2022/9121813" @default.
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